Linear Algebra Example Problems - Linear Transformations: Rotation and Reflection
25.5 هزار بار بازدید -
10 سال پیش
-
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Course website: https://www.adampanagos.org/ala
A linear transformation T: R2 to R2 is examined in this video. For this type of transformation, both the input vectors and output vectors are length 2 and can be easily plotted/visualized in a 2-D coordinate plane.
We find the matrix representation of a linear transformation that rotates points clockwise about the origin by pi/6 radians and then reflects the point through the line x1 = -x2. We also visualize the output of this transformation when the input is the vector x = [1; 0].
If you enjoyed my videos please "Like", "Subscribe", and visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!
Course website: https://www.adampanagos.org/ala
A linear transformation T: R2 to R2 is examined in this video. For this type of transformation, both the input vectors and output vectors are length 2 and can be easily plotted/visualized in a 2-D coordinate plane.
We find the matrix representation of a linear transformation that rotates points clockwise about the origin by pi/6 radians and then reflects the point through the line x1 = -x2. We also visualize the output of this transformation when the input is the vector x = [1; 0].
If you enjoyed my videos please "Like", "Subscribe", and visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!
10 سال پیش
در تاریخ 1394/01/08 منتشر شده
است.
25,516
بـار بازدید شده